If sales tax on a \$36 pair of shoes is \$1.26, find the sales tax on a $\$250$ pair of shoes.

• A. $\$8.75$
• B. $\$3.15$
• C. $\$1.26$
• D. $\$7.49$

Answer: (A)

Verified step by step guidance

1. First, find the sales tax rate by dividing the sales tax amount by the price of the shoes. Use the formula: \(\text{Tax Rate} = \frac{\text{Sales Tax}}{\text{Price}}\). In this case, it is \(\frac{1.26}{36}\).
2. Next, express the tax rate as a decimal to understand the percentage of the price that is charged as tax.
3. Then, use the tax rate to find the sales tax on the \$250 pair of shoes by multiplying the tax rate by 250. The formula is: $\(\text{Sales Tax on }\) 250 = \(\text{Tax Rate}\) \(\times\) 250$.
4. Set up the multiplication carefully to ensure accuracy, keeping the tax rate in decimal form and multiplying by 250.
5. Finally, interpret the result as the sales tax amount for the \$250 shoes, which completes the problem.